The History of The
Principle of Self-Complementarity.
From the backgrounds of the origination and the discovery
to the extensions of the principle.
|
(Minus number shows background). |
-4 |
1941 |
New expressions of the electromagnetic fields where both the electric and the magnetic quantities are treated on an equal basis. |
|
J. A. Stratton (U.
S. A.) |
|
-3 |
1945 |
A relationship between two radiation impedances for a narrow slot antenna and a complementary
wire antenna derived from a classical
antenna theory. |
Z1Z2≒(Z0/2)2 |
T.
Matsumoto (Hokkaido Univ.)
M. Ito (Hiroshima Tech. Coll.)
(1946)
H. G. Booker (U. K.) |
|
-2 |
1945 |
Babinet's Principle in electromagnetic fields. |
M. Kotani (Univ. of Tokyo), G. Sunouchi (Tohoku Univ.) |
|
-1 |
1947 |
A general relationship between two input impedances for an arbitrarily shaped slot
antenna and a complementary planar sheet antenna. |
Z1Z2 =(Z0/2)2 |
Y. Mushiake (Tohoku Univ.) |
|
0 |
1948 |
|
1 |
1948 |
Rotationally symmetric two-terminal self-complementary
planar antenna.
|
Balanced type, 60π≒188.4 [Ω]. |
|
Y. Mushiake (Tohoku Univ.) |
|
2 |
1948 |
Axially symmetric two-terminal self-complementary planar antenna.
|
Unbalanced type, 60π≒188.4 [Ω]. |
Y. Mushiake (Tohoku Univ.) |
|
3 |
1959 |
Rotationally
symmetric four-terminal self-complementary planar antenna (turnstile type)
|
Star-connection type, 30 π≒ 133.2 [Ω] each. |
Y. Mushiake (Tohoku Univ.) |
|
4 |
1959 |
Rotationally
symmetric multi-terminal self-complementary planar antennas.
|
Star-,
ring-, and other connections for various values of input impedances.
|
G. A. Deschamps (U. S. A.) |
|
5 |
1963 |
Three-dimensional multi(N)-planar axially symmetric two-terminal self-complementary
antenna.
|
Unbalanced type, 60π/ N ≒ 94.2 [Ω], for N=2. |
Y. Mushiake (Tohoku Univ.) |
|
6 |
1972 |
Checkerboard type multi-terminal
self-complementary planar antenna.*
|
Balanced type, 60π≒ 188.4 [Ω] each.. |
N. Inagaki (Nagoya Tech. Univ.) |
|
7 |
1978 |
Modified
three-dimensional self-complementary antenna.* *
|
Unbalanced type, 30 π≒ 133.2 [Ω]. |
T. Kasahara, T. Ishizone, Y. Mushiake (Tohoku Univ.) |
|
8 |
1981 |
Modified
three-dimensional self-complementary transmission line.
|
Unbalanced type, 30 π≒ 133.2 [Ω]. |
T. Ishizone (Tohoku Univ.) |
|
9 |
1982 |
Co-planar stacked self-complementary antenna. |
Unbalanced type, 60π≒ 188.4 [Ω] each. |
Y. Mushiake (Tohoku Univ.) |
|
10 |
1982 |
Side-by-side stacked self-complementary antenna. |
Unbalanced type, 60π≒ 188.4 [Ω] each. |
Y. Mushiake (Tohoku Univ.) |
|
11 |
1982 |
Compound-stacked self-complementary antenna. |
Unbalanced type, 60π≒ 188.4 [Ω] each. |
Y. Mushiake (Tohoku Univ.) |
|
12 |
1994 |
Axially
symmetric self-complementary antenna with loaded multi-element.
|
Unbalanced type, 60π≒ 188.4 [Ω] each. |
Y. Mushiake (Tohoku Univ.) |
|
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* Freedom in the shape
is restricted to similitude-transformation.
* * Theoretical proof for general cases has not been
succeeded, except for the monopoly-slot type array antenna.
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